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Simplifying 6(4m + -8) = 20 + 7m Reorder the terms: 6(-8 + 4m) = 20 + 7m (-8 * 6 + 4m * 6) = 20 + 7m (-48 + 24m) = 20 + 7m Solving -48 + 24m = 20 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -48 + 24m + -7m = 20 + 7m + -7m Combine like terms: 24m + -7m = 17m -48 + 17m = 20 + 7m + -7m Combine like terms: 7m + -7m = 0 -48 + 17m = 20 + 0 -48 + 17m = 20 Add '48' to each side of the equation. -48 + 48 + 17m = 20 + 48 Combine like terms: -48 + 48 = 0 0 + 17m = 20 + 48 17m = 20 + 48 Combine like terms: 20 + 48 = 68 17m = 68 Divide each side by '17'. m = 4 Simplifying m = 4
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